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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 538 · 40 questions
TalentJR

How to think it through (Two sure moves): The “if” part happened → the “then” part must be true. The “then” part did not happen → the “if” part must be false. The “then” part happened, or the “if” part did not happen → we can’t tell.

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  1. 1.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If Ananya finishes the homework, then Ananya goes to the park. Fact: Ananya finishes the homework. What can you say about “Ananya goes to the park”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Karan buys milk. Fact: The shop is not open. What can you say about “Karan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Ananya buys milk. Fact: Ananya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Sneha buys milk. Fact: Sneha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Tara wins the match, then Tara gets a medal. Fact: Tara wins the match. What can you say about “Tara does not get a medal”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar gets a medal. What can you say about “Omkar wins the match”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If the shop is open, then Saanvi buys milk. Fact: The shop is open. What can you say about “Saanvi does not buy milk”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If Siddharth scores above 90, then Siddharth gets a gold star. Fact: Siddharth gets a gold star. What can you say about “Siddharth scores above 90”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash gets a medal. What can you say about “Yash wins the match”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not go to the park. What can you say about “Manav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Kavya scores above 90, then Kavya gets a gold star. Fact: Kavya does not get a gold star. What can you say about “Kavya scores above 90”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Yash scores above 90, then Yash gets a gold star. Fact: Yash does not get a gold star. What can you say about “Yash scores above 90”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar wins the match. What can you say about “Omkar does not get a medal”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Manav wins the match, then Manav gets a medal. Fact: Manav does not get a medal. What can you say about “Manav wins the match”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Aisha buys milk. Fact: The shop is open. What can you say about “Aisha buys milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Kavya wins the match, then Kavya gets a medal. Fact: Kavya does not get a medal. What can you say about “Kavya does not win the match”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara goes to the park. What can you say about “Tara finishes the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya goes to the park. What can you say about “Kavya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not finish the homework. What can you say about “Ishaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If the shop is open, then Zoya buys milk. Fact: Zoya does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. must be true
  2. can't tell
  3. can't tell
  4. can't tell
  5. must be true
  6. can't tell
  7. can't tell
  8. must be false
  9. can't tell
  10. must be false
  11. must be false
  12. can't tell
  13. can't tell
  14. must be true
  15. must be false
  16. can't tell
  17. can't tell
  18. must be true
  19. can't tell
  20. must be true
  21. must be true
  22. must be false
  23. can't tell
  24. must be false
  25. must be false
  26. must be false
  27. must be false
  28. must be false
  29. must be true
  30. must be false
  31. must be false
  32. must be true
  33. must be true
  34. can't tell
  35. can't tell
  36. can't tell
  37. can't tell
  38. can't tell
  39. must be true
  40. must be false

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